DEFORMATION QUANTIZATION OF POISSON MANIFOLDS IN THE DERIVATIVE EXPANSION

被引：1

作者：

Bratchikov, A. V. ^{[1
]}

机构：

[1] Kuban State Technol Univ, Krasnodar 350072, Russia

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2009年 / 6卷 / 02期

关键词：

Deformation quantization; non-commutative geometry;

D O I：

10.1142/S0219887809003485

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Deformation quantization of Poisson manifolds is studied within the framework of an expansion in powers of derivatives of Poisson structures. We construct the Lie group associated with a Poisson bracket algebra which defines a second order deformation in the derivative expansion.

引用

页码：219 / 224

页数：6

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